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papers

Publications (30)

math.AG2017

Weierstrass semigroups on the Giulietti-Korchmáros curve

Peter Beelen, Maria Montanucci

math.NT2012

A closed form expression for the Drinfeld modular polynomial $Φ_T(X,Y)$

Alp Bassa, Peter Beelen

math.NT2016

A complete characterization of Galois subfields of the generalized Giulietti--Korchmáros function field

Nurdagül Anbar, Alp Bassa, Peter Beelen

math.NT2016

A modular interpretation of various cubic towers

Nurdagül Anbar, Alp Bassa, Peter Beelen

cs.IT2013

On Rational-Interpolation Based List-Decoding and List-Decoding Binary Goppa Codes

Peter Beelen, Tom Høholdt, Johan S. R. Nielsen +1

math.AG2018

A new family of maximal curves

Peter Beelen, Maria Montanucci

cs.IT2016

Counting generalized Reed-Solomon codes

Peter Beelen, David Glynn, Tom Høholdt +1

math.NT2016

Good families of Drinfeld modular curves

Alp Bassa, Peter Beelen, Nhut Nguyen

math.AG2012

Bounding the number of points on a curve using a generalization of Weierstrass semigroups

Peter Beelen, Diego Ruano

cs.IT2017

Explicit MDS Codes with Complementary Duals

Peter Beelen, Lingfei Jin

math.AG2018

Vanishing ideals of projective spaces over finite fields and a projective footprint bound

Peter Beelen, Mrinmoy Datta, Sudhir R. Ghorpade

cs.IT2015

Sub-quadratic Decoding of One-point Hermitian Codes

Johan S. R. Nielsen, Peter Beelen

math.CO2018

Linear Codes Associated to Skew-symmetric Determinantal Varieties

Peter Beelen, Prasant Singh

math.AG2018

On subfields of the second generalization of the GK maximal function field

Peter Beelen, Maria Montanucci

math.CO2018

Hyperplane Sections of Determinantal Varieties over Finite Fields and Linear Codes

Peter Beelen, Sudhir R. Ghorpade

math.AG2013

Towers of Function Fields over Non-prime Finite Fields

Alp Bassa, Peter Beelen, Arnaldo Garcia +1

math.NT2004

Asymptotically good towers and differential equations

Peter Beelen, Irene I. Bouw

math.AG2017

Maximum Number of Common Zeros of Homogeneous Polynomials over Finite Fields

Peter Beelen, Mrinmoy Datta, Sudhir R. Ghorpade

cs.IT2011

Duals of Affine Grassmann Codes and their Relatives

Peter Beelen, Sudhir R. Ghorpade, Tom Hoeholdt

cs.IT2010

Affine Grassmann Codes

Peter Beelen, Sudhir R. Ghorpade, Tom Hoeholdt

cs.IT2017

Twisted Reed-Solomon Codes

Peter Beelen, Sven Puchinger, Johan Rosenkilde né Nielsen

math.NT2011

Explicit equations for Drinfeld modular towers

Alp Bassa, Peter Beelen

math.AG2017

Generalized Hamming weights of affine cartesian codes

Peter Beelen, Mrinmoy Datta

math.CO2015

Linear Codes associated to Determinantal Varieties

Peter Beelen, Sudhir R. Ghorpade, Sartaj Ul Hasan

cs.IT2018

Structural Properties of Twisted Reed-Solomon Codes with Applications to Cryptography

Peter Beelen, Martin Bossert, Sven Puchinger +1

math.NT2013

Good Towers of Function Fields

Alp Bassa, Peter Beelen, Nhut Nguyen

cs.IT2017

Two-Point Codes for the Generalized GK curve

Elise Barelli, Peter Beelen, Mrinmoy Datta +2

math.AG2013

Galois Towers over Non-prime Finite Fields

Alp Bassa, Peter Beelen, Arnaldo Garcia +1

math.NT2018

On the Deuring Polynomial for Drinfeld Modules in Legendre Form

Alp Bassa, Peter Beelen

cs.IT2018

A note on the generalized Hamming weights of Reed-Muller codes

Peter Beelen